A brazing composition 507 for the brazing of superalloys comprising a base material (for example nickel) with at least one initial phase (for example fine aluminium particles) is provided. The initial phase has a solidus temperature that is below the solidus temperature of the base material 507 and, above a certain temperature, forms with the base material and/or with at least one further initial phase at least one resultant phase (for example nickel aluminide, Ni3Al), the solidus temperature of which is higher than the solidus temperature of the initial phases. Heat treatment takes place in two stages, wherein the temperature of the second heat treatment is preferably 800-1200°C. The brazing composition may likewise be of the type MCrAlX, and the powder particles of the initial phase may be in the form of nanoparticles. The invention has the advantage that it is possible to dispense with the use of agents for lowering the melting point.